Union Of A And B Math
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In symbols.
Union of a and b math. The following table gives some properties of union of sets. More precisely the union of two sets a and b is the set of all elements x such that x is an element of the set a or x is an element of the set b. The union of two sets a and b is the set of elements which are in a in b or in both a and b. We next illustrate with examples.
The intersection of 2 sets a a a and b b b is denoted by a b a cap b a b. Given two sets a and b the union is the set that contains elements or objects that belong to either a or to b or to both. This is the set of all distinct elements that are in both a a a and b b b. In the mathematical sense the union of two sets retains this idea of bringing together.
Commutative associative identity and distributive. It is denoted by a b and is read a union b. The word that signifies that we are using a union is the word or. We write a b basically we find a b by putting all the elements of a and b together.
A more elaborate example involving two infinite sets is. For example if a 1 3 5 7 and b 1 2 4 6 7 then a b 1 2 3 4 5 6 7. We can define the union of a collection of sets as the set of all distinct elements that are in any of these sets.
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